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Finding the Fourth Proportional to 80,064, 110,488.50 and 48,234.24

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Solution

The fourth proportional to 80,064, 110,488.50 and 48,234.24 is: 66,563.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,064 : 110,488.50 = 48,234.24 : x
  2. Step 2: Convert to fraction form
    80,064/110,488.50 = 48,234.24/x
  3. Step 3: Cross multiply
    80,064x = 110,488.50 × 48,234.24
  4. Step 4: Simplify right side
    80,064x = 5,329,328,826.24
  5. Step 5: Solve for x
    x = 5,329,328,826.24/80,064
  6. Step 6: Final answer
    x = 66,563.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.